Finding the Fourth Proportional to 2,182.52, 3,275.20 and 814.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,182.52 : 3,275.20 = 814.52 : x
2. Step 2: Convert to fraction form
   2,182.52/3,275.20 = 814.52/x
3. Step 3: Cross multiply
   2,182.52x = 3,275.20 × 814.52
4. Step 4: Simplify right side
   2,182.52x = 2,667,715.90
5. Step 5: Solve for x
   x = 2,667,715.90/2,182.52
6. Step 6: Final answer
   x = 1,222.31